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Finding the Fourth Proportional to 202,304.57, 279,274.79 and 117,405.23

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Solution

The fourth proportional to 202,304.57, 279,274.79 and 117,405.23 is: 162,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,304.57 : 279,274.79 = 117,405.23 : x
  2. Step 2: Convert to fraction form
    202,304.57/279,274.79 = 117,405.23/x
  3. Step 3: Cross multiply
    202,304.57x = 279,274.79 × 117,405.23
  4. Step 4: Simplify right side
    202,304.57x = 32,788,320,953.15
  5. Step 5: Solve for x
    x = 32,788,320,953.15/202,304.57
  6. Step 6: Final answer
    x = 162,074.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.